@conference{
author = "Kršić, Jelena B. and Veerman, J.J.P. and Petrović, Jovana S.",
year = "2017",
abstract = "Faithful parallel transfer of bits of information between computer components is a necessary condition for fast classical and quantum computation. Moreover, it has recently been suggested that the stability of quantum computation may be increased by using qudits and their representations as multiple qubits [1]. Transfer of an n-qudit and n qubits require number of channels that scale linearly and exponentially with n, respectively. This puts strict demands on dense packaging and scalability of interconnects. However, the transfer through densely packed optical interconnects is impeded by cross-talk between them. Proposed solutions to this problem entail high index-contrast waveguides [2], wavelength multiplexing [3], multimode waveguides [4] and supermodes [5]. We propose a new method and the hardware for the parallel transfer of bits, qubits and qudit states. The method is based on the full state revivals in linearly coupled commensurate waveguide arrays (WGAs). Commensurability of eigenvalues enforces periodicity of light dynamics and hence, full phase and amplitude revivals of the initial state. An n-element array can faithfully transfer an n-bit classical state and a quantum state encoded in an n-dimensional basis. The latter enables transfer of log2n qubits and an n-qudit. However, while the arrays with n<4 waveguides are always commensurate, the eigenvalues of longer arrays are commensurate only for certain ratios of their coupling coefficients. The key challenge in engineering of commensurate arrays is to find these ratios by solving the non-trivial inverse eigenvalue problem. Such problems are analytically solvable in a small number of cases and are, in general, of polynomial complexity. Analytical solutions have been reported for mirror-symmetric arrays composed of 4 or 5 optical waveguides [6]. Here, we present analytical solutions for arrays with up to 9 waveguides and use them to design commensurate WGAs that are accessible to modern fabrication techniques, such as direct laser writing [7].",
publisher = "Belgrade : Institute of Physics Belgrade",
journal = "PHOTONICA2017 : 6th International School and Conference on Photonics and COST actions: MP1406 and MP1402 : Program and the book of abstracts",
title = "A New Method for Multi-Bit and Qudit Transfer Based on Commensurate Waveguide Arrays",
pages = "127-127",
url = "https://hdl.handle.net/21.15107/rcub_vinar_13328"
}
